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Finding the Fourth Proportional to 1,980, 2,970.48 and 1,394.64

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Solution

The fourth proportional to 1,980, 2,970.48 and 1,394.64 is: 2,092.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,980 : 2,970.48 = 1,394.64 : x
  2. Step 2: Convert to fraction form
    1,980/2,970.48 = 1,394.64/x
  3. Step 3: Cross multiply
    1,980x = 2,970.48 × 1,394.64
  4. Step 4: Simplify right side
    1,980x = 4,142,750.23
  5. Step 5: Solve for x
    x = 4,142,750.23/1,980
  6. Step 6: Final answer
    x = 2,092.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.